The <em>correct answers</em> are:
A) Both can be solved by graphing;
C) Both can be solved by substitution; and
D) Both have solutions at the points of intersection.
Explanation:
Just as a system of linear equations can be solved by graphing, a system of quadratic equations can as well. We graph both equations. We then look for the intersection points of the graphs; these intersection points will be the solutions to the system.
We can also solve the system by substitution. If we can get one variable isolated, we can substitute this into the other equation to solve.
Answer:
the 1st, 2nd and 6th statements are true.
and probably the 3rd statement is true.
I am not sure about the 3rd statement, as I cannot read the original in your screenshot, and your transcribed description is probably not correct and contains typos.
but all you need is in the explanation below to decide, if the actual 3rd statement is true or not.
if "58 + 79 = 1268" actually means "5s + 7g = 1268" then it is true. otherwise it is false.
Step-by-step explanation:
g = number of general tickets sold
s = number of student tickets sold
so, in total
g + s = 234
tickets were sold.
and the revenue was
7g + 5s = $1,268
out of these 2 basic equating we get
g = 234 - s
and then
7(234 - s) + 5s = 1,268
1,638 - 7s + 5s = 1,268
-2s = -370
s = 185
g = 234 - s = 234 - 185 = 49
so, we know
185 student tickets were sold for 5×185 = $925
49 general tickets were sold for 7×49 = $343
The surface area of the pyramid will be given as follows:
Area of triangles:
A=1/2×base×height
A=1/2×12×18
A=108 m²
Area of 6 triangles is given by:
A=108×6=648 m²
Area of the hexagon:
A=6×1/2×12×6√3
A=374.123m²
Total surface area:
SA=648+374.123
SA=1022.123 m²~1022 m²
Answer: C] 1022 m²
9/32
1/3
1/9
7/18
7/20
5/44
Still in fractions?
Answer: (9ab^2+c^3)(9ab^2-c^3)
Step-by-step explanation:
81a^2b^4-c^6
(9ab^2)^2-(c^3)^2
(9ab^2+c^3)(9ab^2-c^3)
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤